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Finding the Fourth Proportional to 490.10, 734.40 and 246.29

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Solution

The fourth proportional to 490.10, 734.40 and 246.29 is: 369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.10 : 734.40 = 246.29 : x
  2. Step 2: Convert to fraction form
    490.10/734.40 = 246.29/x
  3. Step 3: Cross multiply
    490.10x = 734.40 × 246.29
  4. Step 4: Simplify right side
    490.10x = 180,871.70
  5. Step 5: Solve for x
    x = 180,871.70/490.10
  6. Step 6: Final answer
    x = 369.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.